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132141120113130 = 23583162742417691
BaseRepresentation
bin11110000010111010000000…
…100001100100100111101010
3122022212120022212020122211120
4132002322000201210213222
5114310000003222110010
61145012443104440110
736555611066322012
oct3602720041444752
9568776285218746
10132141120113130
1139116809434787
12129a1a01919036
135896b14781c7b
14248b942d32c42
1510424617a2e70
hex782e808649ea

132141120113130 has 128 divisors (see below), whose sum is σ = 321274401186816. Its totient is φ = 34778958873600.

The previous prime is 132141120113089. The next prime is 132141120113147. The reversal of 132141120113130 is 31311021141231.

It is a super-2 number, since 2×1321411201131302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141120113130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17181262585 + ... + 17181270275.

It is an arithmetic number, because the mean of its divisors is an integer number (2509956259272).

Almost surely, 2132141120113130 is an apocalyptic number.

132141120113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132141120113130 is an abundant number, since it is smaller than the sum of its proper divisors (189133281073686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132141120113130 is a wasteful number, since it uses less digits than its factorization.

132141120113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 132141120113130 its reverse (31311021141231), we get a palindrome (163452141254361).

The spelling of 132141120113130 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred twenty million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 1627 2490 3254 4241 4881 7691 8135 8482 9762 12723 15382 16270 21205 23073 24405 25446 38455 42410 46146 48810 63615 76910 115365 127230 135041 230730 270082 352003 405123 638353 675205 704006 810246 1056009 1276706 1350410 1760015 1915059 2025615 2112018 3191765 3520030 3830118 4051230 5280045 6383530 6900107 9575295 10560090 12513257 13800214 19150590 20700321 25026514 32617531 34500535 37539771 41400642 62566285 65235062 69001070 75079542 97852593 103501605 125132570 163087655 187698855 195705186 207003210 326175310 375397710 489262965 572708881 978525930 1038600331 1145417762 1718126643 2077200662 2707255073 2863544405 3115800993 3436253286 5193001655 5414510146 5727088810 6231601986 8121765219 8590633215 10386003310 13536275365 15579004965 16243530438 17181266430 27072550730 31158009930 40608826095 53068722937 81217652190 106137445874 159206168811 265343614685 318412337622 530687229370 796030844055 1592061688110 4404704003771 8809408007542 13214112011313 22023520018855 26428224022626 44047040037710 66070560056565 132141120113130